Online GCD Calculator is useful to find the GCD of 442, 492, 371, 824 quickly. Get the easiest ways to solve the greatest common divisor of 442, 492, 371, 824 i.e 1 in different methods as follows.
Given Input numbers are 442, 492, 371, 824
In the factoring method, we have to find the divisors of all numbers
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 371 :
The positive integer divisors of 371 that completely divides 371 are.
1, 7, 53, 371
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
GCD of numbers is the greatest common divisor
So, the GCD (442, 492, 371, 824) = 1.
Given numbers are 442, 492, 371, 824
The list of prime factors of all numbers are
Prime factors of 442 are 2 x 13 x 17
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 371 are 7 x 53
Prime factors of 824 are 2 x 2 x 2 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 442, 492, 371, 824
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(442, 492) = 108732
GCD(442, 492) = ( 442 x 492 ) / 108732
= 442 / 492
= 442
Step2:
LCM(2, 371) = 742
GCD(2, 371) = ( 2 x 371 ) / 742
= 2 / 371
= 2
Step3:
LCM(1, 824) = 824
GCD(1, 824) = ( 1 x 824 ) / 824
= 1 / 824
= 1
So, Greatest Common Divisor of 442, 492, 371, 824 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 442, 492, 371, 824
The greatest common divisor of numbers 442, 492, 371, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 492, 371, 824 is 1.
1. What is the GCD of 442, 492, 371, 824?
GCD of given numbers 442, 492, 371, 824 is 1
2. How to calculate the greatest common divisor of 442, 492, 371, 824?
We can find the highest common divisor of 442, 492, 371, 824 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 442, 492, 371, 824 i.e 1.
3. How can I use the GCD of 442, 492, 371, 824Calculator?
Out the numbers 442, 492, 371, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.